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Finding the Fourth Proportional to 4,788.01, 7,177.76 and 1,865.63

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Solution

The fourth proportional to 4,788.01, 7,177.76 and 1,865.63 is: 2,796.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,788.01 : 7,177.76 = 1,865.63 : x
  2. Step 2: Convert to fraction form
    4,788.01/7,177.76 = 1,865.63/x
  3. Step 3: Cross multiply
    4,788.01x = 7,177.76 × 1,865.63
  4. Step 4: Simplify right side
    4,788.01x = 13,391,070.50
  5. Step 5: Solve for x
    x = 13,391,070.50/4,788.01
  6. Step 6: Final answer
    x = 2,796.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.